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Finding the Third Proportional to 844,416 and 1,321,920

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Solution

The third proportional to 844,416 and 1,321,920 is: 2,069,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,416 : 1,321,920 = 1,321,920 : x
  2. Step 2: Convert to fraction form
    844,416/1,321,920 = 1,321,920/x
  3. Step 3: Cross multiply
    844,416x = 1,321,920 × 1,321,920
  4. Step 4: Simplify right side
    844,416x = 1,747,472,486,400
  5. Step 5: Solve for x
    x = 1,747,472,486,400/844,416
  6. Step 6: Final answer
    x = 2,069,445.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.